3. Major League Baseball officials have been concerned about the lengths of games,particularly playoff games. Officials are concerned that the mean length of a playoffgame is longer than the mean length of a regular season game. (hint: sample 1 isplayoff, sample 2 is regular season)A random sample of 30 playoff games over the past 10 years had an average lengthof 189.3 minutes. A random sample of 32 regular season games over the past 10years had an average length of 175.8 minutes. Assume the sample standarddeviations of the playoff and regular season games are 25 and 21 minutes,respectively.Hypotheses, given a 10% level of significance: test to see if playoff game time islonger.Playoff GameRegular SeasonHo:Pooled variance =critH₂:statSample SizeAverage Length of GameSample Standard Deviationtailsalphapvalue

The provided information is as follows:The sample 1 represents the playoff.Sample 2 represents the…

Answered: 3. Major League Baseball officials have…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sample survey by Comcast asked a random sample of customers about use of the Internet and about the type of community they lived in. Here are the results: Internet Users: Rural: 433 Suburban: 1072 Urban: 536 Nonusers: Rural: 463 Suburban: 627 Urban: 388 Is there a relationship between Internet use and community type? Give statistical evidence to support your findings.
A government agency computed the proportion of U.S. residents who lived in each of four geographic regions in a particular year. Then a simple random sample was drawn of 1000 people living in the United States in the current year. The following table presents the results. Region Past YearProportion ObservedCounts Northeast 0.171 150 Midwest 0.245 235 South 0.357 398 West 0.227 217 Send data to Excel Can you conclude that the proportions of people living in the various regions changed between the current year and the past year? Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. What the P value?
Given the sample 4, 14, −10, add one more sample value that will neither change the mean nor the variance. Round to two decimal places as necessary. If this is not possible, indicate "Cannot create sample".
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
2. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table (Golfweek, February 14, 2009, and February 28, 2009). Suppose you would like to determine if the mean score for the first round of a PGA Tour event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down? Player First Round Final Round Sleve McDichael 72 72 Onson Sweemey 68 68 Darryl Archideld 72 72 Anatoli Smorin 68 68 Rey McScriff 73 73 Glenallen Mixon 69 69 Mario McRlwain 74 74 Raul Chamgerlain 69 73 Mike Sernandez 70 73 Tony Smehrik 71 69 Player First Round Final Round Bobson Dugnutt 73 75…
Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B ₁16 ₂-10 X₁ -6.82 x₂ = 6.27 $₁0.69 5₂ -0.75 (a) State the null and alternative hypotheses. Ho ₁₂50 На H3 -127.0. 0 Ho Hi-H2=0 H₂H₂H₂O Ho M₁ M₂ O H₁:1₁-1₂-0 Ho² M₁-M₂0 H₂H₁₂50 Ho: M₁ M₂ 50 H₂H₂H₂O (b) Compute the value of the test statistic. (Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value= (d) What is your conclusion? O Reject Ho. There is sufficient evidence to…
Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year. a. mean= 12,700; median= 13,156; no mode; the mean is the best choice because it is representative of the entire data set. b. mean= 13,156; median= 12,700; mode= 3,628; the median is the best choice because it is not skewed by the high outlier. c. mean= 13,156; median= 12,700; no mode; the mean is the best choice because it is representative of the entire data set. d. mean= 13,156; median= 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
3. A principal wishes to estimate the average number ofhours students spend dolngbomework per week. The standard deviaton from a prevlous study is 4.5 hours. How large a sample must be selected if he wants to be 95% confident of finding whether the true mean differes from the sample mean by 2.1 hours?
A district health officer wishes to determine if the six villages in his district are independent of residents contracting malaria, schistosomiasis, cholera or tuberculosis. Identity an appropriate statistical test and the tail of the test for the problem. Assume all samples used for study come from a normal population.
During the month of January 2017, a total of 29,404 flights took off from a particular airport. Of all these flights, 23.9 % had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d. a. What sample proportion should we expect to see in such a sample, and how much should we expect the proportion to vary from sample to sample in samples of size 100? The mean is (Round to three decimal places as needed.)

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